Theorem uun121p1 39011

Description: A deduction unionizing a non-unionized collection of virtual hypotheses. (Contributed by Alan Sare, 4-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
uun121p1.1	|- ( ( ( ph /\ ps ) /\ ph ) -> ch )

Assertion

Ref	Expression
uun121p1	|- ( ( ph /\ ps ) -> ch )

Proof of Theorem uun121p1

Step	Hyp	Ref	Expression
1		anabs1 850	. 2 |- ( ( ( ph /\ ps ) /\ ph ) <-> ( ph /\ ps ) )
2		uun121p1.1	. 2 |- ( ( ( ph /\ ps ) /\ ph ) -> ch )
3	1, 2	sylbir 225	1 |- ( ( ph /\ ps ) -> ch )

Syntax hints:   -> wi 4   /\ wa 384

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-an 386

This theorem is referenced by: (None)